Line geometry and 3D graphic statics
The mathematical basis for the line geometry, with the line as its basic element, is presented in the paper because the forces that act on a body in space - whether we are interested in conditions of movement or immobility (balance) of that body - are vectorial values related to specific lines of ac...
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| Format: | Article |
| Language: | English |
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Croatian Association of Civil Engineers
2019-10-01
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| Series: | Građevinar |
| Online Access: | http://www.casopis-gradjevinar.hr/archive/article/2725 |
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Article |
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doaj-2a2cafcda7504f5d8a0b2d3df531ed812020-11-25T00:32:08ZengCroatian Association of Civil EngineersGrađevinar0350-24651333-90952019-10-017110.86387510.14256/JCE.2725.2019226651Line geometry and 3D graphic staticsIva KodrnjaMaja BaničekKrešimir FreslThe mathematical basis for the line geometry, with the line as its basic element, is presented in the paper because the forces that act on a body in space - whether we are interested in conditions of movement or immobility (balance) of that body - are vectorial values related to specific lines of action, so that the system of forces can be linked to the set of lines in space. The application of line geometry has proven the known claim that the system of forces in space, provided the forces are in a general position, can be reduced to two forces on reciprocal lines. The visualisation of this claim via the 3D graphic statics is also presented.http://www.casopis-gradjevinar.hr/archive/article/2725 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Iva Kodrnja Maja Baniček Krešimir Fresl |
| spellingShingle |
Iva Kodrnja Maja Baniček Krešimir Fresl Line geometry and 3D graphic statics Građevinar |
| author_facet |
Iva Kodrnja Maja Baniček Krešimir Fresl |
| author_sort |
Iva Kodrnja |
| title |
Line geometry and 3D graphic statics |
| title_short |
Line geometry and 3D graphic statics |
| title_full |
Line geometry and 3D graphic statics |
| title_fullStr |
Line geometry and 3D graphic statics |
| title_full_unstemmed |
Line geometry and 3D graphic statics |
| title_sort |
line geometry and 3d graphic statics |
| publisher |
Croatian Association of Civil Engineers |
| series |
Građevinar |
| issn |
0350-2465 1333-9095 |
| publishDate |
2019-10-01 |
| description |
The mathematical basis for the line geometry, with the line as its basic element, is presented in the paper because the forces that act on a body in space - whether we are interested in conditions of movement or immobility (balance) of that body - are vectorial values related to specific lines of action, so that the system of forces can be linked to the set of lines in space. The application of line geometry has proven the known claim that the system of forces in space, provided the forces are in a general position, can be reduced to two forces on reciprocal lines. The visualisation of this claim via the 3D graphic statics is also presented. |
| url |
http://www.casopis-gradjevinar.hr/archive/article/2725 |
| work_keys_str_mv |
AT ivakodrnja linegeometryand3dgraphicstatics AT majabanicek linegeometryand3dgraphicstatics AT kresimirfresl linegeometryand3dgraphicstatics |
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1725320674461876224 |